0 A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t is in days. The relative (daily) growth rate is 2.4%. The current population is 283. A) Find the growth model. (the function that represents the population after t days). P(t) = B) Find the population exactly 1 weeks from now. Round to the nearest bacterium. The population in 1 weeks will be C) Find the rate of change in the population exactly 1 weeks from now. Round to the nearest unit. The population will be increasing by about bacteria per day exactly 1 weeks from now. D) When will the popualtion reach 4849? ROUND TO 2 DECIMAL PLACES. The population will reach 4849 about days from now.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t is in
days. The relative (daily) growth rate is 2.4%. The current population is 283.
A) Find the growth model. (the function that represents the population after t days).
P(t) =
B) Find the population exactly 1 weeks from now. Round to the nearest bacterium.
The population in 1 weeks will be
C) Find the rate of change in the population exactly 1 weeks from now.
Round to the nearest unit.
The population will be increasing by about bacteria per day exactly 1 weeks from now.
D) When will the popualtion reach 4849?
ROUND TO 2 DECIMAL PLACES.
The population will reach 4849 about days from now.
Transcribed Image Text:A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t is in days. The relative (daily) growth rate is 2.4%. The current population is 283. A) Find the growth model. (the function that represents the population after t days). P(t) = B) Find the population exactly 1 weeks from now. Round to the nearest bacterium. The population in 1 weeks will be C) Find the rate of change in the population exactly 1 weeks from now. Round to the nearest unit. The population will be increasing by about bacteria per day exactly 1 weeks from now. D) When will the popualtion reach 4849? ROUND TO 2 DECIMAL PLACES. The population will reach 4849 about days from now.
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